document.write( "Question 478401: Let y=6x(squared)+13x+6.Use factorization to determine the x-intercepts.Find the y-intercepts and then sketch the graph
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Algebra.Com's Answer #327788 by lwsshak3(11628) $\"\"$ $\"About$

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Let y=6x(squared)+13x+6.Use factorization to determine the x-intercepts.Find the y-intercepts and then sketch the graph.
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\n" ); document.write( "y=6x^2+13x+6
\n" ); document.write( "y-intercept, set x=0, then solve for y
\n" ); document.write( "y=0+0+6=6
\n" ); document.write( "y-intercept=6
\n" ); document.write( "..
\n" ); document.write( "x-intercepts or zeros
\n" ); document.write( "set y=0, then solve for x, by factoring in this case
\n" ); document.write( "0=6x^2+13x+6
\n" ); document.write( "(2x+3)((3x+2)=0
\n" ); document.write( "2x+3=0
\n" ); document.write( "2x=-3
\n" ); document.write( "x=-3/2
\n" ); document.write( "or
\n" ); document.write( "3x+2=0
\n" ); document.write( "3x=-2
\n" ); document.write( "x=-2/3
\n" ); document.write( "x-intercepts: -3/2 and -2/3
\n" ); document.write( "see the graph below as a visual check on the answers:
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\n" ); document.write( " $\"+graph%28+300%2C+300%2C+-4%2C+4%2C+-4%2C+4%2C6x%5E2%2B13x%2B6%29+\"$ \n" ); document.write( "

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